In a round of mini-golf, Clare records the number of strokes it takes to hit the ball into the hole of each green.
2 3 1 4 5 2 3 4 3
She said that, if she redistributed the strokes on different greens, she could tell that her average number of strokes per hole is 3. Explain how Clare is correct.

Answer:

144

Step-by-step explanation:

Required area= Area of rectangle +2×(Area of Triangle)

=(10×8)+2×(1/2×8×8)

=80+64=144 in²

Answer:

144 in²

Step-by-step explanation:

To solve for the area of a trapezoid divided into a parallelogram (in this case a rectangle) and two triangles, you calculate the area of each part and add it together.

the area of a triangle = (base • height) / 2

the area of a parallelogram = (base • height)

so:

1. Calculate area of first triangle. 8 • 8 = 64, 64/2 is 32

2. Calculate the area of the second triangle. Since in this situation you have two equal triangles, you multiply the answer to the first part by 2 and get 64 in² again.

3. Calculate the area of the rectangle. 8 • 10 = 80 in²

4. Add the two numbers together. 80 + 64 = 144 in²

Based on the calculations, the distance between the garden and the woods is equal to 383 meters.

First of all, we would assign a variable to the different speeds of the turtle and hedgehog as follows:

Mathematically, distance is given by this formula:

Distance = speed × time

Translating the word problem into an algebraic expression, we have;

If they both meet in 5 hours:

D = (S₁ + S₂) × 5  

D = 5S₁ + 5S₂      ......equation 1.

Turtle's speed is 10 meters per hour slower than the hedgehog:

S₁ = S₂ - 10    .....equation 2.

If the turtle had left home 4.5 hours earlier than the hedgehog had left his home:

9.5S₁ + 5S₂ = D + 150    .....equation 3.

Substituting enq. 2 into eqn. 1, we have:

D = 5(S₂ - 10) + 5S₂

D = 5S₂ - 50 + 5S₂

D = 10S₂ - 50      .....equation 4.

Equating eqn. 3 and eqn. 4, we have:

10S₂ - 50 = 9.5(S₂ - 10) + 5S₂ - 150

10S₂ - 50 = 9.5S₂ - 95 + 5S₂ - 150

10S₂ - 50 = 14.5S₂ - 245

14.5S₂ - 10S₂ = 245 - 50

4.5S₂ = 195

S₂ = 195/4.5

S₂ = 43.3 m/h.

Now, we can find the distnace:

D = 10S₂ - 50

D = 10(43.3) - 50

D = 433 - 50

D = 383 meters.

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Answer:

Una fracción donde el denominador (el número de abajo) es una potencia de diez (como 10, 100, 1000, etc.). Puede escribir fracciones decimales con un punto decimal (y sin denominador), lo que facilita la realización de cálculos como la suma y la multiplicación de fracciones.

Step-by-step explanation:

espero que esto ayude

The profit to the company will be maximum that means pear company should produce 11000 phones for the maximum profit.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Function representing the cost to the manufacturer is,

C(x) = -20x²+ 48000x + 19351

A function that represents the revenue generated is,

R(x) = -23x² + 114000x

Function representing profit to the company,

Profit = Revenue generated - Cost price

        = -23x² + 114000x - ( -20x²+ 48000x + 19351)

        = -23x² + 20x² + 114000x - 48000x - 19351

P(x)  = -3x² + 66000x - 19351

Since this function is a quadratic function, the maximum price generated would be x = -b/2a

From the given quadratic function, a = (-3), b = 66000 and c = -19351

x = - 66000/ 2(-3)

x = -66000/-6

x = 11000

x = 11000 the profit to the company will be maximum.

That means pear company should produce 11000 phones for the maximum profit.

Learn more about quadratic equations;

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#SPJ!

Answer:

$ 155.59  after two years

Step-by-step explanation:

Future Value = 130 ( 1 + .094)^2

Answer:

$39

Step-by-step explanation:

[tex]12(.75 + 2.50) = 12(3.25) = 12(3) + 12(.25) = 36 + 3 = 39[/tex]

Answer:

3078

Step-by-step explanation:

you didn't specify whats the length width and height

Answer:

14 hours, 45 minutes

Step-by-step explanation:

The time between 8:10:00 AM and 10:55:00 PM is,

14 hours, 45 minutes, and 0 seconds or 14.75 hours

Answer:

J

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 2 units

2. 11y+4=180=16

3. 33 (close enough)

4. 3.2( ( wouldn't take this for granted)

5.1004.8

Answer:

g = 3

Step-by-step explanation:

Let :

The equations are :

Finding l

Finding w

Finding g

Answer:

2nd option: 3a-11≤7

Step-by-step explanation:

Step 1: The inequality on the number line is:

[tex]a \leqslant 6[/tex]

Step 2: Take a look at the options. First we know that we want values of a which are less than 6 so we get rid of option 1 and 3.

Step 3: Since 6 is included in the inequality so we need to have a ≤ so 2nd option is correct.

QUICK NOTE: if we solve the inequality shown in the 2nd option we'll see it's gonna be a≤6

take a look:

[tex]3a - 11 \leqslant 7 \\ 3a \leqslant 18 \\ a \leqslant 6[/tex]

Answer:

i think 6,300

Step-by-step explanation:

Answer:

I believe the answer is c <3

Answer:

40%

Step-by-step explanation:

The increase was $8. Divide the increase by the original amount.

8/20 = .4

The decimal answer 0.4 converts to a percent answer of 40%. (.4×100=40)

The candle was marked up 40%.

Answer:

Step-by-step explanation:

2hrs=70

so 4.5/2=2.25

2.25 times 70=$157.50

Answer:

D. 116

Step-by-step explanation:

[tex]V=(\frac{1}{3})\pi r^{2}h[/tex]

V = (1/3)π(4)²(6.9)

V = 36.8π

V ≈ 115.55

Note: You will NEVER use slant height to calculate the area, only to calculate the normal height if unknown. In this problem, we did not use it at all so try not to get confused!

Using the z-distribution, as we have the population standard deviation, it is found that a sample of 96 people must be taken.

It is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

Additionally, we have that [tex]\sigma = 38, M = 10[/tex], hence we solve for n to find the minimum sample size needed.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]10 = 2.575\frac{38}{\sqrt{n}}[/tex]

[tex]10\sqrt{n} = 38 \times 2.575[/tex]

[tex]\sqrt{n} = 3.8 \times 2.575[/tex]

[tex](\sqrt{n})^2 = (3.8 \times 2.575)^2[/tex]

n = 95.7

Rounding up, a sample of 96 people must be taken.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

Total amount = interest + principle

Step-by-step explanation:

Formula:- I = PRT/100

Where,

⇒ I = 500×5×3/100

⇒ I = 7500/100

⇒ I = 75

Interest is $75.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 5% per year for 3 years is $575.00.

Answer:

56-8-8-8-8-8-8-8=0

Step-by-step explanation:

Probably just wants to show how many times you subtracted 8 until you got 0

Answer:

The option u chose is the correct one

Answer:

B) 55, 68,81

Step-by-step explanation:

42-29=13

29-16= 13

So 42 + 13= 55

55+ 13= 68

68+ 13= 81

Answer:

B)  55, 68, 81

Step-by-step explanation:

Given sequence:  3, 16, 29, 42

To determine if the sequence is arithmetic or geometric, work out the difference in the terms.

[tex]\sf 3 \underset{+13}{\longrightarrow} 16 \underset{+13}{\longrightarrow} 29 \underset{+13}{\longrightarrow} 42[/tex]

This sequence adds 13 each time, so as the common difference is constant, it is an arithmetic sequence.  To find the next term in the sequence, simply add 13 to the last term:

42 + 13 = 55

55 + 13 = 68

68 + 13 = 81

Therefore, the next three terms in the given sequence are 55, 68, 81

To solve this using the general form of an arithmetic sequence:

[tex]a_n=a+(n-1)d[/tex]

where:

Given:

[tex]\begin{aligned}\implies a_n & =3+(n-1)13\\ & = 3+13n-13\\ & = 13n-10\end{aligned}[/tex]

Therefore, the next 3 terms in the sequence are:

[tex]\implies a_5=13(5)-10=55[/tex]

[tex]\implies a_6=13(6)-10=68[/tex]

[tex]\implies a_7=13(7)-10=81[/tex]

The food outlets can use these four non-price competition strategies to ensure their operational success in the monopolistic competitive market are:

Non-price competition strategies are competitive approaches that can help food outlets to de-emphasize pricing as a competitive strategy.

Instead of pricing, the food outlets can improve the physical and quality aspects of their chicken brands, increase consumer advertising, trade promotions, product differentiation, and locate their outlets in niche markets.

Thus, physical and quality improvements, outlet location and trade promotions, differentiation, and advertising can become non-price competition strategies for these food outlets.

Learn more about non-price competition strategies at https://brainly.com/question/1580879

Answer:

green

Step-by-step explanation:

Green covers 1/4 of the circle space where the spinner can stop

Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?

Let the number of cows be "x" and the number of chickens be "y".

According to question,

x + y = 25 4x + 2y = 72 -->(ii)

=> 4(x + y) = 25 × 4

=> 4x + 4y = 100 -->(i)

By Elimination method,

Equation (i) - (ii)

(4x + 4y) - (4x + 2y) = 100 - 72

=> 4x + 4y - 4x - 2y = 28

=> 2y = 28

=> y = 28/2

=> y = 14

Putting the value of "y" in Equation (ii)

4x + 2y = 72

=> 4x + 2 × 14 = 72

=> 4x + 28 = 72

=> 4x = 72 - 28

=> 4x = 44

=> x = 44/4

=> x = 11

Total number of cows = 11

Total number of chickens = 14

Note: In the second equation of this question I've taken 4 and 2.

The reason behind it is simple. Since, I've assumed the number of cows is "x" and a cow has four legs that why infront of "x" I've put 4.

And a chicken has 2 legs and I've assumed it as "y" therefore infront of "y" I've put 2.

======================================

Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?

Let the number of cows be "x" and the number of chickens be "y".

According to question,

x + y = 28 4x + 2y = 96 -->(ii)

=> 4(x + y) = 28 × 4

=> 4x + 4y = 112 -->(i)

By Elimination method,

Equation (i) - (ii)

(4x + 4y) - (4x + 2y) = 112 - 96

=> 4x + 4y - 4x - 2y = 16

=> 2y = 16

=> y = 16/2

=> y = 8

Putting the value of "y" in Equation (ii)

4x + 2y = 96

=> 4x + 2 × 8 = 96

=> 4x + 16 = 96

=> 4x = 96 - 16

=> 4x = 80

=> x = 80/4

=> x = 20

Total number of cows = 20

Total number of chickens = 8

Note: In the second equation of this question I've taken 4 and 2.

The reason behind it is simple. Since, I've assumed the number of cows is "x" and a cow has four legs that why infront of "x" I've put 4.

And a chicken has 2 legs and I've assumed it as "y" therefore infront of "y" I've put 2.

Answer:

Explanation:

Formula to calculate the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, length of CD having coordinates C(3,1) and D(3, 3),

[tex]CD=\sqrt{(3-3)^2+(1-3)^2}[/tex]

[tex]=2[/tex] [tex]units[/tex]

Formula to find the midpoint of CD is,

[tex]M=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

   [tex]=(\frac{3+3}{2},\frac{1+3}{2})[/tex]

   [tex]=(3,2)[/tex]

Therefore, length of CD = 2 units and (3, 2) are the coordinates of the midpoint of CD.

Answer: 2,3,8

Step-by-step explanation:

if,

x+y+z=13

2x+5y+6z=67

5x-y=7

Solve [x+y+z=13 2x+5y+6z=67] to find: -3x+z=2 and keep

|

x+y+z=13

5x-y=7

6x+z=20 and -3x+z=2

z=8

x=2

y=3

multiplication of -5 and x